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Suppose m and n are constants and m #n. Evaluate A B C D [sin(mx) cos(nx) dx. [„ _m cos(m − n)x - m↓n cos(m + n)x]+ C 12 (1²-1² -sin(m-n)x+ -sin(m+n)x + n)x] + C с m-n m+n 21 [ 1²-15 cos (m_n) x _ _ _ _ _ 1___ cos(m+n) cosm-n m-n m+n 1 m- „ cos(m− n)x+; m+n n)x] + C cos(m+n)x+C

Suppose m and n are constants and m #n. Evaluate A B C D [sin(mx) cos(nx) dx. [„ _m cos(m − n)x - m↓n cos(m + n)x]+ C 12 (1²-1² -sin(m-n)x+ -sin(m+n)x + n)x] + C с m-n m+n 21 [ 1²-15 cos (m_n) x _ _ _ _ _ 1___ cos(m+n) cosm-n m-n m+n 1 m- „ cos(m− n)x+; m+n n)x] + C cos(m+n)x+C

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 72E
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Suppose m and n are constants and m #n. Evaluate 1 (A) √ [n² m² -cos(m− n)x-- -cos(m+n)x] + C m+n -sin(m-n)x+ - 1 m+n in(m+n)x] + C 2 m-n 1 cos(m− n)x − cos(m+n)x] + C m-n m+n −cos(m− n)x+ · ~cos(m+n)x] + C m-n (в D 2 = sin(mx) cos(nx) dx. m+n
Transcribed Image Text:Suppose m and n are constants and m #n. Evaluate 1 (A) √ [n² m² -cos(m− n)x-- -cos(m+n)x] + C m+n -sin(m-n)x+ - 1 m+n in(m+n)x] + C 2 m-n 1 cos(m− n)x − cos(m+n)x] + C m-n m+n −cos(m− n)x+ · ~cos(m+n)x] + C m-n (в D 2 = sin(mx) cos(nx) dx. m+n
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